4,426 research outputs found

    On optimum Hamiltonians for state transformations

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    For a prescribed pair of quantum states |psi_I> and |psi_F> we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates the unitary transformation |psi_I> --> |psi_F> in the shortest duration. The derivation is geometric in character and does not rely on variational calculus.Comment: 5 page

    An alternative to the conventional micro-canonical ensemble

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    Usual approach to the foundations of quantum statistical physics is based on conventional micro-canonical ensemble as a starting point for deriving Boltzmann-Gibbs (BG) equilibrium. It leaves, however, a number of conceptual and practical questions unanswered. Here we discuss these questions, thereby motivating the study of a natural alternative known as Quantum Micro-Canonical (QMC) ensemble. We present a detailed numerical study of the properties of the QMC ensemble for finite quantum systems revealing a good agreement with the existing analytical results for large quantum systems. We also propose the way to introduce analytical corrections accounting for finite-size effects. With the above corrections, the agreement between the analytical and the numerical results becomes very accurate. The QMC ensemble leads to an unconventional kind of equilibrium, which may be realizable after strong perturbations in small isolated quantum systems having large number of levels. We demonstrate that the variance of energy fluctuations can be used to discriminate the QMC equilibrium from the BG equilibrium. We further suggest that the reason, why BG equilibrium commonly occurs in nature rather than the QMC-type equilibrium, has something to do with the notion of quantum collapse.Comment: 25 pages, 6 figure

    The Parkes quarter-Jansky flat-spectrum sample 3. Space density and evolution of QSOs

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    We analyze the Parkes quarter-Jansky flat-spectrum sample of QSOs in terms of space density, including the redshift distribution, the radio luminosity function, and the evidence for a redshift cutoff. With regard to the luminosity function, we note the strong evolution in space density from the present day to epochs corresponding to redshifts ~ 1. We draw attention to a selection effect due to spread in spectral shape that may have misled other investigators to consider the apparent similarities in shape of luminosity functions in different redshift shells as evidence for luminosity evolution. To examine the evolution at redshifts beyond 3, we develop a model-independent method based on the V_max test using each object to predict expectation densities beyond z=3. With this we show that a diminution in space density at z > 3 is present at a significance level >4 sigma. We identify a severe bias in such determinations from using flux-density measurements at epochs significantly later than that of the finding survey. The form of the diminution is estimated, and is shown to be very similar to that found for QSOs selected in X-ray and optical wavebands. The diminution is also compared with the current estimates of star-formation evolution, with less conclusive results. In summary we suggest that the reionization epoch is little influenced by powerful flat-spectrum QSOs, and that dust obscuration does not play a major role in our view of the QSO population selected at radio, optical or X-ray wavelengths.Comment: 18 pages, 11 figures, accepted 18 Dec 2004, Astron. & Astrophys. The accepted version is expanded to include an analysis of the form of the decline in radio-QSO space density at high redshifts. This is compared with the forms of epoch dependence derived for optically-selected QSOs, for X-ray-selected QSOs, and for star formation rat

    The ASCA spectrum of the z=4.72 blazar, GB 1428+4217

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    The X-ray luminous quasar GB 1428+4217 at redshift 4.72 has been observed with ASCA. The observed 0.5-10 keV flux is 3.2E-12 erg/s/cm2. We report here on the intrinsic 4-57 keV X-ray spectrum, which is very flat (photon index of 1.29). We find no evidence for flux variability within the ASCA dataset or between it and ROSAT data. We show that the overall spectral energy distribution of GB 1428+4217 is similar to that of lower redshift MeV blazars and present models which fit the available data. The Doppler beaming factor is likely to be at least 8. We speculate on the number density of such high redshift blazars, which must contain rapidly-formed massive black holes.Comment: 5 pages, 3 Postscript figures, to appear in MNRA

    Reproducibility or Producibility? Metrics and their masters

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    Reproducibility of indicators and metrics is an important topic as it underlies an increasing part of the approach taken to research evaluation. But reproducibility of metrics is not the critical question. The more important question is around access to the data to create metrics, and around who owns the metrics and the transparency of the algorithms and data elements. In short, is it not about producibility rather than reproducibility? With Dimensions, Digital Science has taken a first step in making publication and citation data more openly available. But, perhaps more importantly, Dimensions links other types of data to the familiar bibliometrics landscape to allow the community to go beyond citation-based indicators. The team at Digital Science believes in the “separation of powers” - data should be developed and hosted by providers and the community should own the metrics used to measure itself. Work has started to collaborate with the scientometric and research management community to support their development and implementation of metrics based on the Dimensions data and platform

    Underfeeding Patients with Critical Illness: Making Sense of Recent Data

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    Nutrition support is recognized as an important component of care for patients with critical illness. Providing energy and protein at estimated requirements is thought to prevent or decrease the likelihood of disease-related malnutrition. However, short-term calorie restriction may be advantageous in this setting. Using PubMed, we conducted a search for studies of “permissive underfeeding” or “hypocaloric feeding” for patients with critical illness to evaluate relevant outcomes. Of the initial 137 studies, 32 papers were evaluated, and 16 papers met all eligibility criteria. The results support a benefit or neutral impact on nutrition support-related complications, yet conflicting findings on mortality and infection incidence when compared to patients provided higher energy and protein targets. Across studies, energy and protein needs were calculated using different methods, and the amount of protein administered, and the percentage of estimated calorie needs that constitutes underfeeding remains broad. To become common practice, a consensus on the percentage of calories and amount of protein to define underfeeding must be clarified

    PMN J0525-3343: soft X-ray spectral flattening in a blazar at z=4.4

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    We report optical, radio and X-ray observations of a new distant blazar, PMN J0525-3343, at a redshift of 4.4. The X-ray spectrum measured from ASCA and BeppoSAX flattens below a few keV, in a manner similar to the spectra of two other z>4 blazars, GB 1428+4217 (z=4.72) reported by Boller et al and RXJ 1028.6-0844 (z=4.28) by Yuan et al. The spectrum is well fitted by a power-law continuum which is either absorbed or breaks at a few keV. An intrinsic column density corresponding to 2 x 10^23 H-atoms cm-2 at solar abundance is required by the absorption model. This is however a million times greater than the neutral hydrogen, or dust, column density implied by the optical spectrum, which covers the rest-frame UV emission of the blazar nucleus. We discuss the problems raised and suggest that, unless there is intrinsic flattening in the spectral distribution of the particles/seed photons producing X-rays via inverse Compton scattering, the most plausible solution is a warm absorber close to the active nucleus.Comment: 7 pages, 7 figures; MNRAS, in pres

    Patch-based gaussian mixture model for scene motion detection in the presence of atmospheric optical turbulence

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    In long-range imaging regimes, atmospheric turbulence degrades image quality. In addition to blurring, the turbulence causes geometric distortion effects that introduce apparent motion in acquired video. This is problematic for image processing tasks, including image enhancement and restoration (e.g., superresolution) and aided target recognition (e.g., vehicle trackers). To mitigate these warping effects from turbulence, it is necessary to distinguish between actual in-scene motion and apparent motion caused by atmospheric turbulence. Previously, the current authors generated a synthetic video by injecting moving objects into a static scene and then applying a well-validated anisoplanatic atmospheric optical turbulence simulator. With known per-pixel truth of all moving objects, a per-pixel Gaussian mixture model (GMM) was developed as a baseline technique. In this paper, the baseline technique has been modified to improve performance while decreasing computational complexity. Additionally, the technique is extended to patches such that spatial correlations are captured, which results in further performance improvement
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